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In this paper we study convergence estimates for a multigrid algorithm with smoothers of successive subspace correction (SSC) type, applied to symmetric elliptic PDEs. First, we revisit a general convergence analysis on a class of multigrid…

数值分析 · 数学 2018-05-09 Eugenio Aulisa , Giorgio Bornia , Sara Calandrini , Giacomo Capodaglio

Two linear, point-symmetric, coupled consolidation model families with various embedding space dimension values (oedometer models - 1, spherical models - 3, cylindrical models - 2), differing in one boundary condition (coupled 1 - constant…

地球物理 · 物理学 2021-03-10 Emoke Imre

We propose a general hybrid physics-informed machine learning framework for modeling nonlinear, history-dependent viscoelastic behavior under multiaxial cyclic loading. The approach is built on a generalized internal state variable-based…

软凝聚态物质 · 物理学 2025-07-18 Alireza Ostadrahimi , Amir Teimouri , Kshitiz Upadhyay , Guoqiang Li

Smoothed Particle Hydrodynamics (SPH) methods are advantageous in simulations of fluids in domains with free boundary. Special SPH methods have also been developed to simulate solids. However, there are situations where the matter behaves…

流体动力学 · 物理学 2024-01-18 Ondřej Kincl , Ilya Peshkov , Michal Pavelka , Václav Klika

We investigate several computational problems related to the stochastic convex hull (SCH). Given a stochastic dataset consisting of $n$ points in $\mathbb{R}^d$ each of which has an existence probability, a SCH refers to the convex hull of…

计算几何 · 计算机科学 2017-05-02 Jie Xue , Yuan Li , Ravi Janardan

A mix-mode cohesive fracture model considering tension, compression and shear material behaviour is presented, which has wide applications to geotechnical problems. The model considers both elastic and inelastic displacements. Inelastic…

计算工程、金融与科学 · 计算机科学 2015-01-19 Yilin Gui , Ha H. Bui , Jayantha Kodikara

We consider density estimation under measurement error with the Smoothness-Penalized Deconvolution (SPeD) estimator. The estimator has a tuning parameter regulating the smoothness of the estimate, and proper choice of this parameter is…

统计理论 · 数学 2025-08-25 David Kent

Finite element analysis of stress about a blunt crack tip, emphasizing finite strain and phenomenological and mechanism-based strain gradient plasticity (SGP) formulations, is integrated with electrochemical assessment of occluded-crack tip…

材料科学 · 物理学 2017-11-17 Emilio Martínez-Pañeda , Christian F. Niordson , Richard P. Gangloff

We have designed 3D numerical simulations of a soft spheres model, with size polidispersity and in athermal conditions, to study the transient shear banding that occurs during yielding of jammed soft solids. We analyze the effects of…

软凝聚态物质 · 物理学 2020-07-15 Vishwas V. Vasisht , Emanuela Del Gado

A simple model of a frustrated disordered system is presented. Apart from the (very different) physical interpretation, the model shares many features with that of Sherrington-Kirkpatrick for spin glasses, but, as a consequence of its…

凝聚态物理 · 物理学 2007-05-23 Giovanni Ferraro

Robust prediction of molecular properties under extreme out-of-distribution (OOD) scenarios is a pivotal bottleneck in AI-driven drug discovery. Current scaffold-splitting protocols fail to obstruct microscopic semantic overlap,…

机器学习 · 计算机科学 2026-05-15 Zhuohao Lin , Kun Li , Jiameng Chen , Jiajun Yu , Duanhua Cao , Yizhen Zheng , Wenbin Hu

We develop a framework for analyzing the training and learning rate dynamics on a variety of high- dimensional optimization problems trained using one-pass stochastic gradient descent (SGD) with data generated from multiple anisotropic…

机器学习 · 统计学 2025-10-17 Elizabeth Collins-Woodfin , Inbar Seroussi

One of the major shortcomings of discrete element modelling (DEM) is the computational cost required when the number of particles is huge, especially for fine powders and/or industry scale simulations. This study investigates the scaling of…

软凝聚态物质 · 物理学 2015-06-04 Subhash C. Thakur , Jin Y. Ooi , Hossein Ahmadian

To deal with permanent deformations and residual stresses, we consider a morphoelastic model for the scar formation as the result of wound healing after a skin trauma. Next to the mechanical components such as strain and displacements, the…

数值分析 · 数学 2022-03-17 Ginger Egberts , Fred Vermolen , Paul van Zuijlen

This work explores a holographic proposal to describe light nuclide spectroscopy by considering extensions to the well-known bottom-up AdS/QCD proposals, the hardwall and softwall models. We also propose an alternative description inspired…

高能物理 - 唯象学 · 物理学 2022-11-17 Miguel Angel Martin Contreras , Saulo Diles , Alfredo Vega

In hydrodynamic problems involving wave impact on structures, air compressibility is crucial for accurate pressure prediction when an air bubble is entrapped. In this work, the consistent $\delta^{+}$-SPH model, originally developed for…

流体动力学 · 物理学 2025-05-16 Xiao-Ting Huang , Peng-Nan Sun , Hong-Guan Lyu , Andrea Colagrossi , A-Man Zhang

The development of a subduction zone, whether spontaneous or induced, encompasses a stage of strain localization and is epitomized by the growth of lithospheric-scale shear bands. Our aim in this paper, using a solid-mechanical constitutive…

地球物理 · 物理学 2022-12-27 Ekeabino Momoh , Harsha S. Bhat , Steve Tait

The method of Smoothed Particle Hydrodynamics (SPH) has been widely studied and implemented for a large variety of problems, ranging from astrophysics to fluid dynamics and elasticity problems in solids. However, the method is known to have…

天体物理仪器与方法 · 物理学 2013-10-16 Ruslan F. Gabbasov , Jaime Klapp-Escribano , Joel Suarez-Cansino , Leonardo Di G. Sigalotti

A stress equilibration procedure for hyperelastic material models is proposed andanalyzed in this paper. Based on the displacement-pressure approximation computed with a stable finite element pair, it constructs, in a vertex-patch-wise…

数值分析 · 数学 2019-05-07 Fleurianne Bertrand , Marcel Moldenhauer , Gerhard Starke

Hypo-elastoplasticity is a flexible framework for modeling the mechanics of many hard materials under small elastic deformation and large plastic deformation. Under typical loading rates, most laboratory tests of these materials happen in…

计算物理 · 物理学 2020-11-03 Nicholas M. Boffi , Chris H. Rycroft